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Finding the Third Proportional to 119,094.75 and 189,578.25

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Solution

The third proportional to 119,094.75 and 189,578.25 is: 301,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,094.75 : 189,578.25 = 189,578.25 : x
  2. Step 2: Convert to fraction form
    119,094.75/189,578.25 = 189,578.25/x
  3. Step 3: Cross multiply
    119,094.75x = 189,578.25 × 189,578.25
  4. Step 4: Simplify right side
    119,094.75x = 35,939,912,873.06
  5. Step 5: Solve for x
    x = 35,939,912,873.06/119,094.75
  6. Step 6: Final answer
    x = 301,775.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.